101853620 has 48 divisors (see below), whose sum is σ = 234456768. Its totient is φ = 36860160.

The previous prime is 101853617. The next prime is 101853629. The reversal of 101853620 is 26358101.

It is a self number, because there is not a number n which added to its sum of digits gives 101853620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101853629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50267 + ... + 52253.

It is an arithmetic number, because the mean of its divisors is an integer number (4884516).

Almost surely, 2^101853620 is an apocalyptic number.

101853620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101853620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117228384).

101853620 is an abundant number, since it is smaller than the sum of its proper divisors (132603148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101853620 is a wasteful number, since it uses less digits than its factorization.

101853620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 101853620 is about 10092.2554466284. The cubic root of 101853620 is about 467.0092575049.

The spelling of 101853620 in words is "one hundred one million, eight hundred fifty-three thousand, six hundred twenty".